PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). X 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 X 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 a. Construct a scatterplot and describe the relationship between X and Y. b. Calculate for the sample correlation coefficientr between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance.
PROBLEM SET UNIT Problems Suppose you want to determine if the number of hours studying for an exam is associated with the score the students obtained. To do this, you randomly selected 16 students, asked them how many hours they studied for the exam (X), and what are their scores in the exam (Y). X 15.0 9.5 12.5 8.0 14.0 7.0 10.5 6.5 Y 97.9 82.6 93.0 82.3 100.0 81.9 89.2 78.4 X 8.5 11.0 7.5 3.0 5.5 4.5 9.0 5.0 Y 81.5 92.3 85.7 63.2 74.8 70.5 87.6 75.0 a. Construct a scatterplot and describe the relationship between X and Y. b. Calculate for the sample correlation coefficientr between X and Y. Describe the association and use this to support the pattern you see in the scatterplot. c. Test if there is a linear relationship between the number of hours studying and exam scores at 0.01 level of significance.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Help me atleast letters a and b please. Badly need ur help.
Transcribed Image Text:Statistics and Probability
PROBLEM SET UNIT
Problems
Suppose you want to determine if the number of hours studying for an exam is associated
with the score the students obtained. To do this, you randomly selected 16 students, asked
them how many hours they studied for the exam (X), and what are their scores in the exam
(Y).
15.0
9.5
12.5
8.0
14.0
7.0
10.5
6.5
Y
97.9
82.6
93.0
82.3
100.0
81.9
89.2
78.4
8.5
11.0
7.5
3.0
5.5
4.5
9.0
5.0
Y
81.5
92.3
85.7
63.2
74.8
70.5
87.6
75.0
Construct a scatterplot and describe the relationship between X and Y.
а.
b. Calculate for the sample correlation coefficient r between X and Y. Describe the
association and use this to support the pattern you see in the scatterplot.
c. Test if there is a linear relationship between the number of hours studying and exam
scores at 0.01 level of significance.
d. Find the equation of the straight line that fits the data best and interpret the slope.
e. Determine and interpret the coefficient of determination R2.
f. Predict the average exam score when a student studied for 14.5 hours.
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